Finding the Third Proportional to 194,688 and 284,640.75

Step by Step Solution

1. Step 1: Write the proportion equation
   194,688 : 284,640.75 = 284,640.75 : x
2. Step 2: Convert to fraction form
   194,688/284,640.75 = 284,640.75/x
3. Step 3: Cross multiply
   194,688x = 284,640.75 × 284,640.75
4. Step 4: Simplify right side
   194,688x = 81,020,356,560.56
5. Step 5: Solve for x
   x = 81,020,356,560.56/194,688
6. Step 6: Final answer
   x = 416,154.86